Solve in the following exercises the differential equation given by the indeterminate coefficients method. The answers of each is below

SOLUTIONS

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a) y"+ 3y' + 2y = 6 b) y" – 10y + 25y = 30x +3 c) y" + y + y = x² – 2x d) y" + 3y = -482²e3 1 e) y" – y' +-y = 3+ e/2 f) y" +4y = 3 sin(2x) g) y" + y = 2x sin(x) h) y" – 2y + 5y = e" cos(2x) a) y"+ 3y' + 2y = 6 b) y" – 10y + 25y = 30x +3 c) y" + y + y = x² – 2x d) y" + 3y = -482²e3 1 e) y" – y' +-y = 3+ e/2 f) y" +4y = 3 sin(2x) g) y" + y = 2x sin(x) h) y" – 2y + 5y = e" cos(2x)